Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 916/53, 202/4328 quickly i.e. 92516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 916/53, 202/4328 is 92516.
LCM(916/53, 202/4328) = 92516
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 916/53,202/4328
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 916,202
Least Common Multiple of Numerators i.e. LCM of 916,202 is 92516.
GCF of Denominators means GCF of 53,4328 as per the given fractions.
GCF of 53,4328 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 916,202
2 | 916, 202 |
458, 101 |
∴ So the LCM of the given numbers is 2 x 458 x 101 = 92516
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 916,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(916,202) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(916,202) x common factors =2 x 1 = 2
LCM(916,202) = ( 916 × 202 ) / 2
LCM(916,202) = 185032 / 2
LCM(916,202) = 92516
Lets's calculate GCF of 53,4328
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92516/1
Therefore the LCM of Fractions 916/53,202/4328 is 92516
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 4328
List of positive integer factors of 4328 that divides 4328 without a remainder.
1,2,4,8,541,1082,2164,4328
Greatest Common Factor
We found the factors 53,4328 . The biggest common factor number is the GCF number.
So the greatest common factor 53,4328 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 916/53, 202/4328?
Answer: LCM of Numerators as per given numbers 916/53, 202/4328 is
LCM of Numerators i.e. for 916,202 is 92516
GCF of denominators i.e. for 53,4328 is 1.
Thus, LCM of Fractions is 92516.Finally, LCM of Fractions for 916/53, 202/4328 is 92516.